Szczegóły publikacji
Opis bibliograficzny
Small linear perturbations of fractional Choquard equations with critical exponent / Xiaoming He, Vicenţiu D. RĂDULESCU // Journal of Differential Equations ; ISSN 0022-0396. — 2021 — vol. 282, s. 481–540. — Bibliogr. s. 539–540, Abstr. — Publikacja dostępna online od: 2021-02-23. — V. D. Radulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Craiova, Romania; Institute of Mathematics ”Simion Stoilow” of the Romanian Academy, Bucharest, Romania
Autorzy (2)
- He Xiaoming
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 132928 |
|---|---|
| Data dodania do BaDAP | 2021-03-10 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2021.02.017 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
We are concerned with the qualitative analysis of positive solutions to the fractional Choquard equation {(−Δ)su+a(x)u=(Iα⁎|u|2α,s⁎)|u|2α,s⁎−2u,x∈RN,u∈Ds,2(RN),u(x)>0,x∈RN, where Iα(x) is the Riesz potential, s∈(0,1), N>2s, 0<α<min{N,4s}, and [Formula presented] is the fractional critical Hardy-Littlewood-Sobolev exponent. We first establish a nonlocal global compactness property in the framework of fractional Choquard equations. In the second part of this paper, we prove that the equation has at least one positive solution in the case of small perturbations of the potential that describes the linear term. © 2021 Elsevier Inc.